Question

∠1 and ∠3 can best be described as - (opposite angles formed by intersecting lines) options: supplementary angles, adjacent angles, complementary angles, vertical angles

Explanation:

1. Recall the definitions:

• Supplementary angles: Two angles whose sum is \(180^\circ\).
• Adjacent angles: Angles that share a common side and a common vertex.
• Complementary angles: Two angles whose sum is \(90^\circ\).
• Vertical angles: Opposite angles formed by the intersection of two lines. They are equal in measure.

1. Analyze \(\angle1\) and \(\angle3\):

• From the diagram, \(\angle1\) and \(\angle3\) are opposite angles formed by the intersection of two lines (a transversal and a horizontal line). This matches the definition of vertical angles.
• Supplementary angles would require their sum to be \(180^\circ\), but vertical angles are equal, not necessarily supplementary (unless the intersecting lines are perpendicular, which isn't indicated here).
• Adjacent angles share a common side, but \(\angle1\) and \(\angle3\) do not share a common side.
• Complementary angles would require their sum to be \(90^\circ\), which isn't indicated here.

Answer:

D. vertical angles